Shear stiffness of epoxy-glass composites

Ogorkiewicz, R.M.; Weidmann, G. W.

doi:10.1016/0010-4361(74)90363-2

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…Correspondingly the values of (ν LT ) are illustrated in Figure 6. In Figure 7, the calculated values of E T (Equation (4)) from the FEA are compared with those from other theories [2,[23][24][25][26][27]. In particular, we have the following: …”

Section: Resultsmentioning

confidence: 99%

“…The results are presented vs. υ f in Tables 1-5 and Figures 5-7 compared with theoretical values derived from formulas of other scientists [21,22] and also with experimental results obtained by Theocaris et al [1] and by Sideridis [2] and from other research works. [21][22][23][24][25][26][27] In Figures 5-7, the results obtained from FEM were also included together with theoretical and experimental results. Thus, by this way, a complete investigation is performed.…”

Section: Resultsmentioning

confidence: 99%

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Analytical and computational study of the moduli of fiber-reinforced composites and comparison with experiments

Sideridis

Theotokoglou

Giannopoulos

2015

Composite Interfaces

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The present article investigates the analytical and computational derivation of the moduli of continuous fiber-reinforced composites. Theoretical expressions for the longitudinal and transverse elastic moduli and also for the longitudinal and transverse Poisson ratios, which were derived taking into account the concept of boundary interphase between fibers and matrix, were obtained as a function of the fiber volume fraction. The micro-scale model considers that the composite material consists of three phases: the fiber, the matrix, and the interphase. The latter is the part of the polymer matrix lying at a close vicinity to the fiber surface. In this investigation, it was assumed that the interphase is inhomogeneous in nature with varying mechanical properties. Different laws of variation of its elastic modulus and Poisson ratio were taken into account in order to define the overall modulus of the composite. Thermal analysis method had been used for the estimation of the thickness of the interphase. An investigation about the influence of an interphase region on the elastic constants given by the rules of the mixtures is also carried out. Finite element analysis was performed in order to obtain the elastic constants and to compare them with the respective theoretical values derived from the interphase model and with those from other models and also with experimental results.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Analytical and computational study of the moduli of fiber-reinforced composites and comparison with experiments

Sideridis

Theotokoglou

Giannopoulos

2015

Composite Interfaces

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“…In most of them a perfect adhesion between matrix and filler was assumed as existing between phases of the composite. In [23] the shear moduli of particulate composites are obtained by means of two cube-within-cube models. In [24] a concept of the interaction between the fillers using different distribution of the inclusions into the volume of the matrix is presented.…”

Section: Introductionmentioning

confidence: 99%

“…These models are considered geometrically hybridique in relation with the three-part models existing in the literature [18][19][20]. The assumptions of [18][19][20][21][22][23] were used, for the evaluation of the static elastic and shear moduli. According to [6] the correspondence principle has been used for the prediction of the dynamic elastic constants of the particulate composite.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Elastic Moduli of Particulate Composites by New Models and Comparison with Moduli Measured by Tension, Dynamic, and Ultrasonic Tests

Bourkas¹,

Prassianakis

Kytopoulos³

et al. 2010

Advances in Materials Science and Engineering

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The elastic constants of particulate composites are evaluated employing a theoretical cube-within-cube formation. Two new models of four and five components, respectively, formed by geometrical combination of three-component models existing in the literature, are used as Representative Volume Elements. Using the governing stress and strain equations of the proposed models, two new equations providing the static elastic and shear moduli of particulate composites are formulated. In order to obtain the dynamic elastic and shear moduli, the correspondence principle was applied successively to components connected in series and/or in parallel. The results estimated by the proposed models were compared with values evaluated from existing formulae in the literature, as well as with values obtained by tensile, dynamic, and ultrasonic experiments in epoxy/iron particulate composites. They were found to be close to values obtained by static and dynamic measurements and enough lower compared with values obtained from ultrasonic experiments. The latter is attributed to the high frequency of ultrasonics. Since measurements from ultrasonic's and from dynamic experiments depend on the frequency, the modulus of elasticity estimated by ultrasonic's is compared with that (storage modulus) estimated by dynamic experiments.

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The transverse elastic modulus of fiber‐reinforced composites as defined by the concept of interphase

Sideridis

1993

J of Applied Polymer Sci

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SYNOPSISA theoretical expression for the prediction of the transverse elastic modulus in fiber-reinforced composites was developed. The concept of interphase between fibers and matrix was used for the development of the model. This model considers that the composite material consists of three phases, that is, the fiber, the matrix, and the interphase. The latter is the part of the polymer matrix lying at the close vicinity of the fiber surface. In the present investigation it was assumed that the interphase is inhomogeneous in nature with continuously varying mechanical properties. Different laws of variation of its elastic modulus and Poisson ratio were taken into account in order to define the overall modulus of the composite. I NTRO DUCT10 NA unidirectional fiber-reinforced composite can be considered as a basic element from which composite structures are constructed and also the simplest one from the geometrical point of view. From the mechanical point of view the simplest kind of fiber reinforced material is an elastic one, which is composed of linear elastic fibers and matrix. The study of the elastic properties of uniaxially fiber-reinforced materials on the basis of constituent elastic properties and the prediction of the elastic moduli is one of the main engineering problems.A large number of theoretical models have been appeared in the literature. Paul' used the principles of minimum energy and minimum complementary energy to define the bounds on the elastic modulus of a macroscopically isotropic, two-phase composite with arbitrary phase geometry.Hill2 derived these same bounds using a different approach. Hashin and R~s e n ,~ attempted to tighten Paul's bounds to obtain more useful estimates of moduli for isotropic heterogeneous materials. They have considered an idealized model of random array of parallel hollow or solid fibers embedded in a matrix. This model of a fiber-reinforced material is referred to a composite cylinder assemblage. Closedform expressions for elastic moduli and bounds for a fifth modulus of such an assemblage were obtained. Whitney and Riley4 presented a work somewhat analogous to that of Hashin and Rosen, but less rigorous mathematically and written to appeal to the engineer rather, than to the mathematician.The fiber arrays have been extensively studied by Adams and T~a i .~ They found that the hexagonal array analysis agree better with experiments than do results of the square array analysis.Problems of determining exact solutions to various cases of elastic inclusions in an elastic matrix were treated by Muskhelishvili,' who used complex variable mapping techniques. In addition, numerical solution techniques such as finite difference and finite elements have been used extensively.In contrast to the simple geometric model discussed previously, there is a somewhat more complicated model known as the self-consistent model. In this, the average stress and strain in each phase are determined by the solution of separate problems in the case of multi-phase media. The material outsi...

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Shear stiffness of epoxy-glass composites

Cited by 6 publications

References 12 publications

Analytical and computational study of the moduli of fiber-reinforced composites and comparison with experiments

Analytical and computational study of the moduli of fiber-reinforced composites and comparison with experiments

Estimation of Elastic Moduli of Particulate Composites by New Models and Comparison with Moduli Measured by Tension, Dynamic, and Ultrasonic Tests

The transverse elastic modulus of fiber‐reinforced composites as defined by the concept of interphase

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